adding typos

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mhjensen
2019-12-24 15:29:55 +01:00
parent a001e514eb
commit f23e4c4621
8 changed files with 17 additions and 16 deletions
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@@ -140,7 +140,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Dec 22, 2019</h4></center> <!-- date -->
<center><h4>Dec 24, 2019</h4></center> <!-- date -->
<br>
<h2 id="___sec0">Introduction </h2>
@@ -1170,10 +1170,10 @@ Finally, another cost function is the Huber cost function used in robust regress
It is less sensitive to outliers in data than the squared error cost function.
A variant for classification is also sometimes used, a quantity we will meet later.
$$
L_{\delta }(a)={\begin{cases}{\frac {1}{2}}{a^{2}}&{\text{for }}|a|\leq \delta ,\\\delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}}\end{cases}}}.
H_{\delta}(a)={\begin{cases}{\frac {1}{2}}{a^{2}}&{\text{for }}|a|\leq \delta ,\\\delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}}\end{cases}}}.
$$
<p>
Here \( a=\boldsymbol{y} - \boldsymbol{\tilde{y}} \).
We will discuss in more
detail these and other functions in the various lectures. We conclude this part with another example. Instead of
a linear \( x \)-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn.